What is the Least Common Multiple of 85743 and 85752?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 85743 and 85752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85743 and 85752, than apply into the LCM equation.

GCF(85743,85752) = 9
LCM(85743,85752) = ( 85743 × 85752) / 9
LCM(85743,85752) = 7352633736 / 9
LCM(85743,85752) = 816959304

Least Common Multiple (LCM) of 85743 and 85752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85743 and 85752. First we will calculate the prime factors of 85743 and 85752.

Prime Factorization of 85743

Prime Factorization of 85752

Now multiplying the highest exponent prime factors to calculate the LCM of 85743 and 85752.

LCM(85743,85752) = 3³ × 7¹ × 1361¹ × 2³ × 397¹
LCM(85743,85752) = 816959304